Arrays are disjoint or not
Detailed guide and Python implementation for the 'Arrays are disjoint or not' problem.
1. Concept Overview
The 'Arrays are disjoint or not' problem is a key challenge in the Arrays section.
This implementation focuses on easy-level logic in Python.
We prioritize technical accuracy and code readability in our provided solutions.
2. Real-World Applications
3. Visual Intuition
Visualizing the logic flow for Arrays are disjoint or not.
4. Prerequisites
5. Step-by-Step Thinking
1. Understand the problem
Read the problem statement for Arrays are disjoint or not carefully.
2. Formulate brute force
Draft a simple iterative solution.
3. Identify inefficiency
Look for redundant calculations.
4. Optimize search path
Use hashing or sorting to speed up the process.
5. Final Implementation
Clean up the code for production standards.
Problem Statement
Write a function are_disjoint(arr1, arr2) that takes two lists of integers and returns True if they have no elements in common (disjoint), and False otherwise.
- •0 <= len(arr1), len(arr2) <= 10^5
- •-10^6 <= arr1[i], arr2[i] <= 10^6
Examples
arr1 = [1, 2, 3], arr2 = [4, 5, 6]
True
No element appears in both arrays.
arr1 = [1, 2, 3], arr2 = [3, 4, 5]
False
3 is present in both arrays.
arr1 = [], arr2 = [1, 2, 3]
True
An empty array is disjoint with any array.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
Ready to Solve?
Open the problem in PyRun's browser-based Python editor. Your code runs fully offline — no server required.
Interview Insights & Variations
Complexity Analysis Breakdown
Why Time: Directly evaluates all possibilities.
Why Space: Uses standard local memory.
Why Time: Optimized paths reduce total operations.
Why Space: May trade memory for speed.
Optimized Solution Python Code
Optimized Solution Python Code
def are_disjoint_opt(arr1, arr2):
# Using sets for O(n+m) complexity
return len(set(arr1) & set(arr2)) == 0Brute Force Code (Spoiler Guarded)
Brute Force Code (Spoiler Guarded)
def are_disjoint_brute(arr1, arr2):
for x in arr1:
for y in arr2:
if x == y:
return False
return TrueAlgorithm Pattern Checklist
When dealing with Arrays data patterns.
Core Prerequisites
Revision Key Notes
Common Mistakes & Pitfalls
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